Answer
$9x^2+12x+15$
Work Step by Step
Using $(a+b)(c+d)=ac+ad+bc+bd$ or the product of $2$ binomials, the given expression, $
(3x+2)(3x+5)
$, is equivalent to
\begin{array}{l}\require{cancel}
3x(3x)+3x(2)+2(3x)+2(5)
\\\\=
9x^2+6x+6x+15
\\\\=
9x^2+12x+15
.\end{array}